5+3(x-1)=10x-2x-3

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Solution for 5+3(x-1)=10x-2x-3 equation: 


Simplifying
5 + 3(x + -1) = 10x + -2x + -3

Reorder the terms:
5 + 3(-1 + x) = 10x + -2x + -3
5 + (-1 * 3 + x * 3) = 10x + -2x + -3
5 + (-3 + 3x) = 10x + -2x + -3

Combine like terms: 5 + -3 = 2
2 + 3x = 10x + -2x + -3

Reorder the terms:
2 + 3x = -3 + 10x + -2x

Combine like terms: 10x + -2x = 8x
2 + 3x = -3 + 8x

Solving
2 + 3x = -3 + 8x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-8x' to each side of the equation.
2 + 3x + -8x = -3 + 8x + -8x

Combine like terms: 3x + -8x = -5x
2 + -5x = -3 + 8x + -8x

Combine like terms: 8x + -8x = 0
2 + -5x = -3 + 0
2 + -5x = -3

Add '-2' to each side of the equation.
2 + -2 + -5x = -3 + -2

Combine like terms: 2 + -2 = 0
0 + -5x = -3 + -2
-5x = -3 + -2

Combine like terms: -3 + -2 = -5
-5x = -5

Divide each side by '-5'.
x = 1

Simplifying
x = 1

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